QFT and BeyondNo Access

Twisted non-Abelian vortices

Péter Forgács

MTA Wigner RCP RMI, H1525 Budapest, POB 49, Hungary

LMPT CNRS UMR7350, Université de Tours, Parc de Grandmont, 37200 Tours, France

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Árpád Lukács

MTA Wigner RCP RMI, H1525 Budapest, POB 49, Hungary

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, and

Fidel A. Schaposnik

Departamento de Física, Universidad Nacional de La Plata, Instituto de Física La Plata C.C. 67, 1900 La Plata, Argentina

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https://doi.org/10.1142/S0217751X16450469Cited by:0 (Source: Crossref)

Abstract

Twisted non-Abelian flux-tube solutions are considered in the bosonic sector of a 4-dimensional $𝒩 = 2$ super-symmetric gauge theory with U(2) $_{local} \times SU {(2)}_{global}$ symmetry, with two scalar doublets in the fundamental representation. Twist refers to a time-dependent matrix phase between the two doublets, and twisted strings have nonzero (global) charge, momentum, and in some cases even angular momentum per unit length. The planar cross section of a twisted string corresponds to a rotationally symmetric, charged non-Abelian vortex, satisfying 1st order Bogomolny-type equations and Gauss-type constraints. Quite unexpectedly some twisted strings lack cylindrical symmetry in $ℝ^{3}$ .

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Twisted non-Abelian vortices

Abstract

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